Solve for x: (3x+9)/(2)=(1x+4)/(8)

Cross-multiply fractions: Cross-multiply to eliminate the fractions. (3x + 9) * 8 = (x + 4) * 2Distribute multiplication over addition: Distribute the multiplication over addition on both sides. 24x + 72 = 2x + 8Subtract to combine x terms: Subtract 2x from both sides to get all x terms on one side. 24x - 2x + 72 = 8 22x + 72 = 8Isolate x term by subtraction: Subtract 72 from both sides to isolate the x term. 22x = 8 - 72 22x = -64Solve for x by division: Divide both sides by 22 to solve for x. x = -64 / 22 x = -32 / 11

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Solve for x: $\frac{3x+9}{2}=\frac{x+4}{8}$

View step-by-step help

Home

Math Problems

Algebra 2

Add and subtract polynomials

Full solution

Q. Solve for x:

\frac{3x+9}{2}=\frac{x+4}{8}

Cross-multiply fractions: Cross-multiply to eliminate the fractions. $\newline$ $(3x + 9) \times 8 = (x + 4) \times 2$
Distribute multiplication over addition: Distribute the multiplication over addition on both sides. $\newline$ $24x + 72 = 2x + 8$
Subtract to combine $x$ terms: Subtract $2x$ from both sides to get all $x$ terms on one side. $\newline$ $24x - 2x + 72 = 8$ $\newline$ $22x + 72 = 8$
Isolate $x$ term by subtraction: Subtract $72$ from both sides to isolate the $x$ term. $\newline$ $22x = 8 - 72$ $\newline$ $22x = -64$
Solve for x by division: Divide both sides by $22$ to solve for $x$ . $\newline$ $x = -64 / 22$ $\newline$ $x = -32 / 11$